{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-08T18:29:05.529205Z",
     "start_time": "2025-01-08T18:29:05.525194Z"
    }
   },
   "cell_type": "code",
   "source": "import matplotlib.pyplot as plt",
   "id": "4e06fab36ef2a911",
   "outputs": [],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-01-08T18:29:05.602728Z",
     "start_time": "2025-01-08T18:29:05.547207Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.plot([1,0,9,2,6,1],[4,5,6,3,4,4])\n",
    "plt.show()"
   ],
   "id": "8b32fed0bf38c686",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
